The "spring like effect " in a golf club could be determinedby the measuring the coefficient of restitution(the ratio of theoutbound velocity to the inbound velocity of a golf ball fired at aclub head) 12 randomly selected drivers produced by 2 differentclub makers are tested and the coefficient of restitutionmeasured:
club1
0.8406
0.8104
0.8234
0.8198
0.8235
0.8562
0.8123
0.7976
0.8184
0.8265
0.7773
0.7871
club 2
0.8305
0.7905
0.8352
0.838
0.8145
0.8465
0.8244
0.8014
0.8309
0.8405
0.8256
0.8476
a)is there evidence that coefficient of restitution is approx. normally distributed? is an assumption of equal variancesjustified?
b)test the hypothesis that both brands of clubs have equalmean coefficient of restitution. α=.05. what isP-value of test.
c)construct a 95%CIon the mean
d)what is the power of the statistical test in part(b)todetect a true difference in mean
e)what sample size would be required to detect a truedifference in mean of .1 with a power of approx.08